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A shirt manufacturer determines by observation that the circumference of the neck of a college man is a random phenomenon approximately obeying a normal probability law with parameters m = 14.25 inches and σ = 0.50 inches. For the purpose of determining how many shirts of a manufacturer's total production should have various collar sizes, compute for each of the sizes (measured in inches), 14, 14.25, 14.50, 14.75, 15.00, 15.25, 15.50, 15.75, and 16.00, the probability that a college man will wear a shirt collar of the given size, assuming that his collar size is the smallest size more than 3/4 of an inch larger than the circumference of his neck.

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